#28 problem, please do shells andwashers if possible
Washers vs.shells Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easiest to apply. y = x, y= x 1/3 in the first quadrant; revolved about the x-axis y = x2/8, y = 2 - x, x = 0; revolved about the y-axis y = 1/(x + 1), y = 1 - x/3; revolved about the x-axis y = (x - 2)3 - 2, x = 0, y = 25; revolved about the y-axis y = ln x, y = ln x2, y = 1; revolved about the x-axis y = 6/(x + 3), y = 2 - x; revolved about the x-axis Explain why or why not Determine whether the following ments are true and give an explanation or counterexample.
Show transcribed image textWashers vs.shells Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easiest to apply. y = x, y= x 1/3 in the first quadrant; revolved about the x-axis y = x2/8, y = 2 - x, x = 0; revolved about the y-axis y = 1/(x + 1), y = 1 - x/3; revolved about the x-axis y = (x - 2)3 - 2, x = 0, y = 25; revolved about the y-axis y = ln x, y = ln x2, y = 1; revolved about the x-axis y = 6/(x + 3), y = 2 - x; revolved about the x-axis Explain why or why not Determine whether the following ments are true and give an explanation or counterexample.
